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Find the Least-Squares Regression Line and Use the Line to Make

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Find the Least-Squares Regression Line and Use the Line to Make Predictions
-The data below are the final exam scores of 10 randomly selected history students and the number of hours they slept the night before the exam. Find the equation of the regression line for the given data. What would be the predicted score for a history student who slept 7 hours the previous night? Is this a reasonable question? Round your answer to the nearest whole number.
 Find the Least-Squares Regression Line and Use the Line to Make Predictions -The data below are the final exam scores of 10 randomly selected history students and the number of hours they slept the night before the exam. Find the equation of the regression line for the given data. What would be the predicted score for a history student who slept 7 hours the previous night? Is this a reasonable question? Round your answer to the nearest whole number.    A)   \hat { y } = 5.044 \mathrm { x } + 56.11 ; 91 ; Yes, it is reasonable. B)   \hat  { y } = 5.044 \mathrm { x } + 56.11 ; 91 ;  No, it is not reasonable. 7 hours is well outside the scope of the model. C)   \hat {y} = - 5.044 x + 56.11 ; 21 ;  No, it is not reasonable. 7 hours is well outside the scope of the model. D)   \hat  { y } = - 5.044 \mathrm { x } + 56.11 ; 21 ; Yes, it is reasonable.

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Definitions:

Contribution Margin

The amount remaining from sales revenue after variable expenses have been deducted, contributing to covering fixed costs and profit.

Break Even

is the point at which total costs and total revenues are equal, meaning there is no net loss or gain, and it's a rephrased term for determining financial balance.

Variable Costs

Costs that vary directly with the level of production or output, such as raw materials and direct labor costs.

Net Income

The total profit of a company after all expenses, including taxes and operating costs, have been deducted from revenues.

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